| 摘要: |
| 本文研究了一个非自治的具有阶段结构和时滞的捕食-食饵模型.利用比较原理获得了系统持久性的条件,在假设系统为周期系统的条件下通过构造Liapunov函数证明了正周期解的存在唯一性和全局渐近稳定性. |
| 关键词: 持久性 阶段结构 渐近稳定性 时滞 周期解 Liapunov函数 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:Supported by the NSF of Education Hall of Henan(2009C110005) |
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| DYNAMICS OF A NON-AUTONOMOUS PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND DELAYS |
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LIANG Gui-zhen,LI Kun
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LIANG Gui-zhen1,LI Kun2(1.Department of Mathematics,Xinxiang University,Xinxiang 453003,China)(2.Department of Basic Course,Henan Mechanical and Electrical Engineering College,Xinxiang 453002,China)
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| Abstract: |
| A non-autonomous predator-prey model with digest delay and stage structure is considered in this article. The conditions of permanence of it are gotten by comparative principle.Furthermore, existence uniqueness and asymptotically stability of positive periodic solution have been proved under some assumptions if this model turns out to be a periodic system through constructing a Liapunov function. |
| Key words: permanence stage structure asymptotically stability delay periodic solution Liapunov functional |
